57648640 has 80 divisors (see below), whose sum is σ = 158016672. Its totient is φ = 19759104.

The previous prime is 57648637. The next prime is 57648667. The reversal of 57648640 is 4684675.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 57648593 and 57648602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16312 + ... + 19528.

Almost surely, 2^57648640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79008336).

57648640 is an abundant number, since it is smaller than the sum of its proper divisors (100368032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57648640 is an equidigital number, since it uses as much as digits as its factorization.

57648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 57648640 is about 7592.6701495587. The cubic root of 57648640 is about 386.3044302105.

The spelling of 57648640 in words is "fifty-seven million, six hundred forty-eight thousand, six hundred forty".